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2009

Non-local order in gapless systems: Entanglement Spectrum in Spin Chains

Thomale, Ronny, Arovas, D. P., Bernevig, B. Andrei

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We show that the entanglement spectrum can be used to define non-local order in gapless spin systems.

We find a gap that fully separates a series of generic, high `entanglement energy' levels, from a flat band of levels with specific multiplicities that uniquely define the ground-state, and remains finite in the thermodynamic limit.
We pick the appropriate set of quantum numbers, and then partition the system in this space.
This partition corresponds to a very non-local real-space cut.

Non-local order in gapless systems: Entanglement Spectrum in Spin Chains · Around

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N. Regnault, B. A. Bernevig, and F. D. M. Haldane, Phys. Rev. Lett. 103
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B. A. Bernevig and N. Regnault, Phys. Rev. Lett. 103
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